Q. Consider the following data set: 5, 6, 6, 7, 8, 8, 8, 9. What is the mode?
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Solution
The number 8 appears 3 times, which is more than any other number, making it the mode.
Correct Answer:
D
— 8
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Q. Consider the following numbers: 1, 2, 2, 3, 4, 4, 4, 5. What is the mode?
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Solution
The mode is 4, which appears most frequently (three times).
Correct Answer:
D
— 4
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Q. Consider the relation R on the set of real numbers defined by R = {(x, y) | x^2 + y^2 = 1}. What type of relation is R?
A.
Reflexive
B.
Symmetric
C.
Transitive
D.
None of the above
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Solution
R is symmetric because if (x,y) is in R, then (y,x) is also in R. It is not reflexive or transitive.
Correct Answer:
B
— Symmetric
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Q. Consider the set defined by the constraints: {x | x is an even number and x > 0}. Which of the following is a valid member of this set?
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Solution
The number 2 is the only even number greater than 0 among the options, thus it is a valid member of the set.
Correct Answer:
B
— 2
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Q. Convert 5 kilometers to meters.
A.
500
B.
5000
C.
50
D.
5
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Solution
5 kilometers is equal to 5000 meters.
Correct Answer:
B
— 5000
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Q. Convert the direct speech: 'She said, I can swim.' into indirect speech. (2020)
A.
She said that she can swim.
B.
She said that she could swim.
C.
She said that she is able to swim.
D.
She said that she was able to swim.
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Solution
In indirect speech, 'can' changes to 'could'.
Correct Answer:
B
— She said that she could swim.
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Q. Convert the direct speech: 'They said, We are happy.' into indirect speech. (2019)
A.
They said that they are happy.
B.
They said that they were happy.
C.
They said that they have been happy.
D.
They said that they had been happy.
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Solution
In indirect speech, the present tense changes to past tense.
Correct Answer:
B
— They said that they were happy.
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Q. Convert the following sentence to indirect speech: 'He said, I am reading a book.'
A.
He said that he reads a book.
B.
He said that he was reading a book.
C.
He said that he is reading a book.
D.
He said that he has read a book.
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Solution
In indirect speech, the present continuous tense changes to past continuous tense.
Correct Answer:
B
— He said that he was reading a book.
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Q. Convert the following sentence to indirect speech: 'He said, I have finished my work.'
A.
He said that he had finished his work.
B.
He said that he has finished his work.
C.
He said that he finished his work.
D.
He said that he was finishing his work.
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Solution
In indirect speech, the present perfect tense changes to past perfect tense.
Correct Answer:
A
— He said that he had finished his work.
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Q. Convert the following sentence to indirect speech: 'He said, I will finish my work.'
A.
He said that he will finish his work.
B.
He said that he finished his work.
C.
He said that he would finish his work.
D.
He said that he is finishing his work.
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Solution
In indirect speech, the future tense changes to 'would'.
Correct Answer:
C
— He said that he would finish his work.
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Q. Convert the following sentence to indirect speech: 'She said, I am going to the market.'
A.
She said that she is going to the market.
B.
She said that she was going to the market.
C.
She said that she will go to the market.
D.
She said that she goes to the market.
Show solution
Solution
In indirect speech, the present continuous tense changes to past continuous tense.
Correct Answer:
B
— She said that she was going to the market.
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Q. Convert the following sentence to indirect speech: 'She said, I am not feeling well.'
A.
She said that she was not feeling well.
B.
She said that she is not feeling well.
C.
She said that she has not been feeling well.
D.
She said that she was not feel well.
Show solution
Solution
In indirect speech, the present continuous tense changes to past continuous tense.
Correct Answer:
A
— She said that she was not feeling well.
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Q. Convert the following sentence to indirect speech: 'She said, I can swim.'
A.
She said that she could swim.
B.
She said that she can swim.
C.
She said that she was able to swim.
D.
She said that she will swim.
Show solution
Solution
In indirect speech, 'can' changes to 'could'.
Correct Answer:
A
— She said that she could swim.
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Q. Convert the following sentence to indirect speech: 'She said, I will help you.'
A.
She said that she will help you.
B.
She said that she would help you.
C.
She said that she helps you.
D.
She said that she helped you.
Show solution
Solution
In indirect speech, 'will' changes to 'would'.
Correct Answer:
B
— She said that she would help you.
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Q. Convert the following sentence to indirect speech: 'The teacher said, You must complete your homework.'
A.
The teacher said that we must complete our homework.
B.
The teacher said that we had to complete our homework.
C.
The teacher said that you must complete your homework.
D.
The teacher said that you should complete your homework.
Show solution
Solution
In indirect speech, 'must' changes to 'had to'.
Correct Answer:
B
— The teacher said that we had to complete our homework.
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Q. Convert the following sentence to indirect speech: 'They said, We are happy.'
A.
They said that they are happy.
B.
They said that they were happy.
C.
They said that they will be happy.
D.
They said that they have been happy.
Show solution
Solution
In indirect speech, the present tense changes to past tense.
Correct Answer:
B
— They said that they were happy.
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Q. Convert the following sentence to indirect speech: 'They said, We will go to the party.'
A.
They said that they would go to the party.
B.
They said that they will go to the party.
C.
They said that they are going to the party.
D.
They said that they went to the party.
Show solution
Solution
In indirect speech, 'will' changes to 'would'.
Correct Answer:
A
— They said that they would go to the party.
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Q. Convert the following sentence to passive voice: 'The chef cooks the meal.' (2020)
A.
The meal is cooked by the chef.
B.
The meal was cooked by the chef.
C.
The meal has been cooked by the chef.
D.
The meal cooked by the chef.
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Solution
In passive voice, the object of the active sentence becomes the subject of the passive sentence. Thus, 'The meal is cooked by the chef.' is correct.
Correct Answer:
A
— The meal is cooked by the chef.
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Q. Convert to passive voice: 'The teacher explains the lesson.' (2020)
A.
The lesson is explained by the teacher.
B.
The lesson was explained by the teacher.
C.
The lesson has been explained by the teacher.
D.
The lesson explained by the teacher.
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Solution
In passive voice, the object 'the lesson' becomes the subject, resulting in 'The lesson is explained by the teacher.'
Correct Answer:
A
— The lesson is explained by the teacher.
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Q. Convert to passive voice: 'The teacher will grade the exams.'
A.
The exams will be graded by the teacher.
B.
The teacher is grading the exams.
C.
The exams are graded by the teacher.
D.
The teacher grades the exams.
Show solution
Solution
In passive voice, the object 'the exams' becomes the subject, and the action is performed by 'the teacher'.
Correct Answer:
A
— The exams will be graded by the teacher.
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Q. Deficiency of which nutrient causes chlorosis in plants? (2022)
A.
Nitrogen
B.
Phosphorus
C.
Potassium
D.
Calcium
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Solution
Nitrogen deficiency leads to chlorosis, which is the yellowing of leaves due to insufficient chlorophyll production.
Correct Answer:
A
— Nitrogen
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Q. Deficiency of which nutrient causes the 'chlorosis' symptom in plants? (2022)
A.
Nitrogen
B.
Phosphorus
C.
Potassium
D.
Magnesium
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Solution
Nitrogen deficiency leads to chlorosis, which is the yellowing of leaves due to insufficient chlorophyll production.
Correct Answer:
A
— Nitrogen
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Q. Despite the challenges posed by climate change, the community has shown remarkable resilience, demonstrating that they can adapt and thrive in the face of adversity. This resilience is evident in their efforts to ______.
A.
abandon traditional practices
B.
collaborate on sustainable solutions
C.
ignore the warnings from scientists
D.
rely solely on government aid
Show solution
Solution
The context suggests that the community is actively working to adapt to climate change, which aligns with collaborating on sustainable solutions.
Correct Answer:
B
— collaborate on sustainable solutions
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Q. Despite the challenges posed by climate change, the community has shown remarkable resilience, demonstrating that they can adapt and thrive in the face of adversity. This resilience is not merely a response to external pressures; it is also a reflection of their __________.
A.
indifference to change
B.
commitment to sustainability
C.
lack of resources
D.
fear of the future
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Solution
The context suggests that the community's resilience is a positive trait, indicating a commitment to sustainability.
Correct Answer:
B
— commitment to sustainability
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Q. Despite the challenges posed by climate change, the community has shown remarkable resilience, demonstrating that __________.
A.
they are indifferent to environmental issues.
B.
collective action can lead to significant change.
C.
individual efforts are futile.
D.
government intervention is unnecessary.
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Solution
The sentence implies that the community's resilience is linked to collective action, making option 1 the most logical completion.
Correct Answer:
B
— collective action can lead to significant change.
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Q. Despite the challenges posed by climate change, the community has shown remarkable resilience, demonstrating that they can adapt and thrive in the face of adversity. This resilience is not merely a reaction to external pressures; it is a _____ of their deep-rooted values and commitment to sustainability.
A.
reflection
B.
denial
C.
abandonment
D.
disregard
Show solution
Solution
The word 'reflection' fits best in the context, as it indicates that their resilience is a manifestation of their values.
Correct Answer:
A
— reflection
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Q. Despite the challenges posed by climate change, the community has shown remarkable resilience, demonstrating that they can ________ even in the face of adversity.
A.
succumb
B.
thrive
C.
retreat
D.
disperse
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Solution
The context suggests that the community is overcoming challenges, making 'thrive' the most appropriate choice.
Correct Answer:
B
— thrive
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Q. Despite the challenges posed by climate change, the community has shown remarkable resilience, demonstrating that they can adapt and thrive in the face of adversity. This resilience is not merely a response to external pressures; it is also a reflection of their __________.
A.
indifference to change
B.
commitment to sustainability
C.
lack of resources
D.
fear of the future
Show solution
Solution
The context suggests that the community's resilience is a positive trait, indicating a commitment to sustainability rather than indifference, lack of resources, or fear.
Correct Answer:
B
— commitment to sustainability
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Q. Despite the challenges posed by climate change, the community remained __________ in their efforts to promote sustainability. (2023)
A.
apathetic
B.
resilient
C.
indifferent
D.
disheartened
Show solution
Solution
The context suggests that the community is actively working towards sustainability despite challenges, which aligns with 'resilient'.
Correct Answer:
B
— resilient
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Q. Despite the heavy rain, the event was a huge success, which was a testament to the organizers' ______ planning.
A.
meticulous
B.
haphazard
C.
negligent
D.
inadequate
Show solution
Solution
The word 'meticulous' fits best as it indicates careful and precise planning, contrasting with the negative connotations of the other options.
Correct Answer:
A
— meticulous
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